Theta-functions for indefinite polarizations

Details Theta-functions for indefinite polarizations Theta-functions for indefinite polarizations

2000-11-16

arxiv.org/abs/math/0011112v2

Mathematics

Algebraic Geometry

19 pages, 1 figure; Version for publication

Scientific paper

We propose a generalization of the classical theta function to higher
cohomology of the polarization line bundle on a family of complex tori with
positive index. The constructed cocycles vary horizontally with respect to the
(projective) flat connection on this family coming from a heat operator. They
also possess modular properties similar to the classical ones.

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